The Repeated Replacement Method: A Pure Lagrangian Meshfree Method for Computational Fluid Dynamics
Figure 35
Integral error norm vs. maximum density error metric.
Maximum integral error norm emaxinorm and maximum number of cells nmax vs. the maximum density error metric Δmax ρ for Sod’s problem. Δmax ρ is swept from 1.0e-1 to 1.0e-5, while Δmax u and Δmax p are held constant at 1.0e-1. Simulation was from time t = 0.0 to t = 1.5. This figure shows that the error decreases logarithmically as the number of cells (and thus the computational effort) increases logarithmically.